Solve for the value of x that makes likes r and s parallel.
Answer:
x = 65
Step-by-step explanation:
If Alternate exterior angles are congruent, r and s will be parallel
3x - 63 = 2x + 2
3x - 2x - 63 = 2
x - 63 = 2
x = 2 + 63
x = 65
The price of a car decreases by 35% to £13000.
What was the car worth before the decrease?
Help
Answer:
€20,000
Step-by-step explanation:
% decrease = (original price of the car - new price) ÷ original price × 100
Let "x' represents the original price before the decrease.
New price = €13,000
% decrease = 35%
Plug in the values into the equation
[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]
[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]
Multiply both sides by x
[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]
[tex] 35x = 100x - 1,300,000 [/tex]
Subtract 100x from both sides
[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]
[tex] -65x = -1,300,000 [/tex]
Divide both sides by -65
[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]
[tex] x = 20,000 [/tex]
The car was worth €20,000 before the decrease.
The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?
Answer:
(-1,-5)
Step-by-step explanation:
Answer:
HMM C..... Answer: Choice C. (-1, -5)
Step-by-step explanation:
The reflection rule we use is
when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.
Translate the sentence into an inequality.
Five subtracted from b is less than or equal to 16.
Answer:
Step-by-step explanation:
b-5 ≤ 16
Answer:
b - 5 ≤ 16
Step-by-step explanation:
five billion, seventy three thousand
Answer:
5,000,073,000
Step-by-step explanation:
If you cut a 3 ¾ ft. length of wire into pieces that are ¼ ft. long, how many pieces
of wire will you have?
Answer:
3 2/4
Step-by-step explanation:
3.5 or just 3 if you round
When you were born, your grandma put $308 into a bank account for you to have when you turn sixteen. She has specific directions that you must follow in order to access the money. Starting on your 16th birthday, you must withdraw (take out) $14 a week for ‘fun money.’
a. Write an equation to represent this situation.
b. When will you run out of money? Show all of your work for calculating this problem and don’t forget to include your units!
c. Find the domain & range of this problem in the real-world context.
Answer:
$308 - 14r
Number of weeks = 22 weeks
Step-by-step explanation:
Given that:
Amount kept in bank = $308; which should be withdrawn weekly at $14 per week
Total amount in bank - weekly withdrawal * number rof weeks
Let number of weeks = r
$308 - 14r
When will the money run out
$308 - 14r = 0
-14r = - 308
Divide through by 14
14r/13 = 308/14
r = 22
Tne entire money can be withdrawn for 22 weeks at $14 per week without any leftover.
The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
[tex]P(x)=-15x(x-8)[/tex]
To find:
The current which will produce the maximum power.
Solution:
We have,
[tex]P(x)=-15x(x-8)[/tex]
[tex]P(x)=-15x^2+120x[/tex]
Differentiate with respect to x.
[tex]P'(x)=-15(2x)+120(1)[/tex]
[tex]P'(x)=-30x+120[/tex] ...(i)
To find the extreme point equate P'(x)=0.
[tex]-30x+120=0[/tex]
[tex]-30x=-120[/tex]
Divide both sides by -30.
[tex]x=4[/tex]
Differentiate (i) with respect to x.
[tex]P'(x)=-30(1)+(0)[/tex]
[tex]P'(x)=-30<0[/tex] (Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
its 4 amperes
Step-by-step explanation:
khan said so
Calculate the total area of the figure below.
Answer:
156
Step-by-step explanation:
how much is 2 dollars
Answer:
2 dollars is 200 cents
Step-by-step explanation:
dksjei
PROBLEM SOLVING You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a
similar garden with a perimeter of 105 feet?
Answer:
5
Step-by-step explanation:
you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))
Which graph represents the solution set for the compound inequality below?
Answer:
Option 1
Step-by-step explanation:
First inequality:
-x/3>=-3 => x<9
Second inequality:
x>=17
What is the midpoint between (2,4) and (10,16)?
Answer:
the midpoint would be (5,9)
Answer:
(6, 10 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1+y_{2} } }{2}[/tex] )
Here (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (10, 16) , thus
midpoint = [tex]\frac{2+10}{2}[/tex], [tex]\frac{4+16}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex], [tex]\frac{20}{2}[/tex] ) = (6, 10 )
sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D
graph y= -x -6 please
Answer:
Correct
Step-by-step explanation:
Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.
A group of 80 ants went to collect some honey. 1/2 lost their way and 1/4 got eaten by a passing anteater. How many ants came back?
Answer:
23
Step-by-step explanation:
Write down an example of an equation that has:
a. One solution
b. Two solutions
c. An infinite number of solutions
d. No solutions
Answer:
a. 2x+3=7
b. x^2=9
c. x=x
d. x+4=x+3
Step-by-step explanation:
A) can be proved correct by x=2 as 2(2)=4+4=7
B)x^2=9 can be proven correct by either (3,3) or (-3,-3) as 3*3 is 9 and -3*-3=9 as well because two negatives equal a postive
C) x=x is the simplest equation w/ infinite solutions-you could have 2=2 or 4=4
D) There is no answer that can make this equation correct
2. Express each of the following percentages as
a decimal.
(a) 4%
(b) 633%
Answer:
a. 0.04
b. 6.33
Step-by-step explanation:
a. If we want to convert into decimal we need to divide it by 100 then answer will 0.04
4/100 = 0.04
b. If we want to convert into decimal we need to divide it by 100 then answer will 6.33
633/100 = 6.33
Is (5, 9) a solution to the system of inequalities?
x + y > 12
2x - y < 4
Answer:
yes (5,9) is a solution to the system of inequalities
Step-by-step explanation:
5+9= 14
14>12 - this statement ends up being true
2(5)-9
10-9=1
1<4- this statement also ends up being true
-4 5/6 + (3 1/3) =
How dI you do this?
Daisy made 6 phone calls in 13 hour. At that rate, how many phone calls can she make in 1 hour?
Answer:
She can make almost 1 phone call in an hour (particularly, 46 minutes of call per hour)
Step-by-step explanation:
This problem can be solved by using ratios and proportions.
Step 1: Identify the "knowns" from the "unknown."
It is known that Daisy can make 6 phone calls in 13 hours. Now, the problem is asking for the number of phone calls Daisy can make in 1 hour.
The "unknown" here is the number of phone calls Daisy can make in 1 hour.
Step 2: The values should be plug into the proportion.
[tex]\frac{6 phone calls}{13 hours}[/tex] = [tex]\frac{x phone calls}{1 hour}[/tex]
Step 3: We can now solve the proportion.
[tex]\frac{6}{13}[/tex] = [tex]\frac{x}{1}[/tex] ⇒x = 0.46 calls per hour (almost 1 call per hour)
these triangles are congruent by the triangle congruence postulate
Answer: SSS
Step-by-step explanation:
SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.
Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $
Answer:
Rachel earn $85 in 10 hours.
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.
1 hour = $(34/4)
= $8.5
He earns $8.5 in an hour.
To find his earning in 10 hours, multiply $8.5 by 10. So,
Earning = $8.5 × 10
= $85
Hence, Rachel earn $85 in 10 hours.
Answer:
85
Step-by-step explanation:
I am right
Which of the following is both a perfect square and a perfect cube?
64
16
81
1,000
I know the answer is 64, but how? Can someone please explain me to me how to work this out?
8 6/12 decimal form
Answer:
8.5
Step-by-step explanation:
6 is half of 12 so I guessed 8.5
Round 0.00208815 to 3 significant figures
rotate the triangle through 180 degrees about the origin?
Answer:
Step-by-step explanation:
(1,1) ==> (-1,-1)
(4,2)==>(-4,-2)
(4,4)==> (-4,-4)
The triangle is shown below, after rotting 180 degrees about the origin.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
The coordinates of the vertices of triangle = (1, 2), (4, 2) and (4,4).
When the triangle is rotated through 180 degrees about the origin,
The sing of the vertices changes.
The sign will be changed as.
(1, 2) = (-1, -2)
(4, 2) = (-4, -2)
(4, 4) = (-4, -4)
The triangle after rotating 180 degrees show.
To know more about Triangle on:
https://brainly.com/question/2773823
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Rewrite by completing the square 2x^2+7x+6=0
Answer:
[tex]2x^2+7x+6=0\\\\2(x^2+\frac72x+3)=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2-(\frac74)^2+3]=0\\\\2[x^2+2\cdot x\cdot\frac74+(\frac74)^2]-2(\frac74)^2+6=0 \\\\2(x+\frac74)^2-2\cdot\frac{49}{16}+6=0\\\\2(x+\frac74)^2-\frac{49}8+\frac{48}8=0\\\\2(x+\frac74)^2-\frac18=0[/tex]
Answer:
(x+7/4)^2=1/16
Step-by-step explanation:
For every 8ft of cord he can make 3 chains how much does jairon need to
make 12 chains
Answer:
24 ft of cord
Step-by-step explanation:
8ft = 3 chains
16 ft = 6 chains
24 ft = 12 chains
OR
8 x 3 =24
Find the slope
-5/4
4/5
-4/5
Answer:
The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B
Step-by-step explanation:
You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let us use this rule to answer the question
From the attached graph:
∵ The given line passes through points (-1, -2) and (4, 2)
→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = -2 and y2 = 2
→ Substitute their values in the rule of the slope above
∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]
∴ The slope of the line is [tex]\frac{4}{5}[/tex]